Finding the Third Proportional to 24,185.81 and 36,643.78

Step by Step Solution

1. Step 1: Write the proportion equation
   24,185.81 : 36,643.78 = 36,643.78 : x
2. Step 2: Convert to fraction form
   24,185.81/36,643.78 = 36,643.78/x
3. Step 3: Cross multiply
   24,185.81x = 36,643.78 × 36,643.78
4. Step 4: Simplify right side
   24,185.81x = 1,342,766,704.30
5. Step 5: Solve for x
   x = 1,342,766,704.30/24,185.81
6. Step 6: Final answer
   x = 55,518.78